%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET704+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:33:07 AM UTC 2026
% Result : Theorem 23.22s 8.34s
% Output : CNFRefutation 23.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 22 ( 8 ~; 8 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subset,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ) ).
fof(product,axiom,
! [X0,X1] :
( member(X0,product(X1))
<=> ! [X2] :
( member(X2,X1)
=> member(X0,X2) ) ) ).
fof(thI42,conjecture,
! [X0,X1] :
( member(X1,X0)
=> subset(product(X0),X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( member(X1,X0)
=> subset(product(X0),X1) ),
inference(negate_conjecture,[status(cth)],[thI42]) ).
cnf(c1,plain,
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[subset]) ).
cnf(c2,plain,
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[subset]) ).
cnf(c26,plain,
( member(X0,X2)
| ~ member(X2,X1)
| ~ member(X0,product(X1)) ),
inference(clausification,[status(esa)],[product]) ).
cnf(c29,plain,
member(sK32,sK31),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c30,plain,
~ subset(product(sK31),sK32),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( subset(product(X0),X1)
| ~ member(X2,X0)
| member(sK3(product(X0),X1),X2) ),
inference(resolution,[status(thm)],[c26,c1]) ).
cnf(d1,plain,
( subset(product(X0),X1)
| ~ member(X1,X0)
| subset(product(X0),X1) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
~ member(sK32,sK31),
inference(resolution,[status(thm)],[d1,c30]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c29,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET704+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.35 % Computer : n018.cluster.edu
% 0.09/5.35 % Model : x86_64 x86_64
% 0.09/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.35 % Memory : 8046.5625MB
% 0.09/5.35 % OS : Linux 6.8.0-71-generic
% 0.09/5.35 % CPULimit : 300
% 0.09/5.35 % WCLimit : 300
% 0.09/5.35 % DateTime : Sat Sep 26 08:09:41 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.22/8.34 % SZS status Theorem for theBenchmark.p
% 23.22/8.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------